84204700416 has 144 divisors (see below), whose sum is σ = 252516741120. Its totient is φ = 27672744960.

The previous prime is 84204700409. The next prime is 84204700427. The reversal of 84204700416 is 61400740248.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 404961 + ... + 576543.

It is an arithmetic number, because the mean of its divisors is an integer number (1753588480).

Almost surely, 2^84204700416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84204700416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126258370560).

84204700416 is an abundant number, since it is smaller than the sum of its proper divisors (168312040704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

84204700416 is a wasteful number, since it uses less digits than its factorization.

84204700416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171679 (or 171659 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 84204700416 in words is "eighty-four billion, two hundred four million, seven hundred thousand, four hundred sixteen".